Kinematics worksheet with answers

Free printable Kinematics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A train slows down uniformly from 25 m/s to 9 m/s in 11 s. How far does it travel in that time? Find s.

v₀ = 25 m/sv = 9 m/st = 11 s

s = m

2.Easy

A stone is dropped from rest from a bridge 65 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 65 mg = 9.81 m/s²

t = s

3.Medium

A car driving at 90 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −6.5 m/s²v = 0

s = m

4.Medium

A car speeding at a constant 34 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3 m/s². How long does it take the police car to catch up? Find t.

v_car = 34 m/sa_police = 3 m/s²v_0,police = 0

t = s

5.Hard

A ball is thrown straight up at 16 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 16 m/sh₀ = 15 mg = 9.81 m/s²

t = s

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 22 m/s² for 2 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max the rocket reaches.

a = 22 m/s²t₁ = 2 sg = 9.81 m/s²

h_max = m

Answer key

1. s = 187 m
2. t = 3.64 s
3. s = 48.08 m
4. t = 22.67 s
5. t = 4.022 s
6. h_max = 142.7 m

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